Classify the solution set of each equation below as one of the following types of surfaces: A. parabolic cylinder, B. ellipsoid, C. elliptic paraboloid, D. hyperbolic paraboloid, E. cone, and F. hyperboloid.

the complete question is found in the attachment

1) D. hyperbolic paraboloid

2)C. elliptic paraboloid

3)E. cone

4)F. hyperboloid.

Step-by-step explanation:

The complete explanation is found in the attachment

hope it

step-by-step explanation:

x^(1/6) · x^(1/6) · x^(1/6)   ·x^(1/6) = x^(4/6)   since we add the exponents

4/6 can be simplified to 2/3

the simplified form is x^(2/3)